Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 8 - Sequences and Infinite Series - 8.2 Sequences - 8.2 Exercises - Page 616: 4


$a_n = (-1)^n = \{-1,1,-1,1,...\}$

Work Step by Step

$a_n = (-1)^n$ is bounded by the values $-1$ and $1$, since the terms are either $-1$ or $1$. The limit doesn't exist because the terms do not approach one value. They simply alternate between the values $-1$ and $1$.
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